Answer: 2.40
5.40-2.40= 3 (price of 2 sodas)
8.70 - 7.20 = 1.5 (price of 1 soda)
The soda prices match up so a hamburger is 2.40
An equation is formed of two equal expressions. The cost of one hamburger is $2.40.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the cost of a hamburger be represented by x, while the cost of a large soda is represented by y. Given that the cost of one hamburger and two large sodas are $5.40. Therefore, the equation can be written as
x + 2y = $5.40
Solving the equation for x,
x = 5.40 - 2y
Also, given that the cost of three hamburgers and one large soda is $8.70. Therefore, we can write,
3x + y = 8.70
Substitute the value of x from above,
3(5.40 - 2y) + y = 8.70
16.2 - 6y + y = 8.70
-5y = -7.5
y = 1.5
Substitute the value of y in the equation of x,
x = 5.40 - 2(1.5)
x = 2.40
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